An electric power steering apparatus includes a motor for applying assist torque to a vehicle steering mechanism and a controller, which controls driving of the motor to cause the assist torque to follow an assist command value. The controller calculates a basic assist command value based on steering torque applied to the steering mechanism and corrects the basic assist command value using a correction value, thereby setting the assist command value. If the steering torque has an absolute value greater than a threshold value when the vehicle is in a straight-line traveling state, the controller sets the correction value such that the absolute value of the steering torque is reduced. If the steering torque has an absolute value less than the threshold value when the vehicle is in a straight-line traveling state, the controller sets the correction value such that the absolute value of the assist command value is reduced.